Final answer:
Assuming the system of equations is {y = 7x + 10, y = -4x - 23}, we can set the two equations equal to each other and solve for x. This gives us x = -3. Substituting this value back into one of the original equations gives us y = -11, making the solution to the system x = -3, y = -11.
Step-by-step explanation:
It seems there is a typo in the system of equations provided, as y4 appears to be incorrect. Assuming the intended equation is y = -4x - 23, we can solve the system of equations {y = 7x + 10, y = -4x - 23} by setting them equal to each other since they both equal y.
7x + 10 = -4x - 23
Add 4x to both sides:
7x + 4x + 10 = -23
11x + 10 = -23
Subtract 10 from both sides:
11x = -33
Divide by 11:
x = -3
Now substitute x = -3 into one of the original equations to find y:
y = 7(-3) + 10 = -21 + 10 = -11
So the solution to the system of equations is x = -3, y = -11.